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Finding the Third Proportional to 359,640 and 558,778.50

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Solution

The third proportional to 359,640 and 558,778.50 is: 868,183.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,640 : 558,778.50 = 558,778.50 : x
  2. Step 2: Convert to fraction form
    359,640/558,778.50 = 558,778.50/x
  3. Step 3: Cross multiply
    359,640x = 558,778.50 × 558,778.50
  4. Step 4: Simplify right side
    359,640x = 312,233,412,062.25
  5. Step 5: Solve for x
    x = 312,233,412,062.25/359,640
  6. Step 6: Final answer
    x = 868,183.22

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.